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Two Types of Solutions to a Class of -Laplacian Systems with Critical Sobolev Exponents in

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  • Jing Li
  • Caisheng Chen

Abstract

We focus on the following elliptic system with critical Sobolev exponents:   ; ; , where , either or , and critical Sobolev exponents and . Conditions on potential functions lead to no compact embedding. Relying on concentration-compactness principle, mountain pass lemma, and genus theory, the existence of solutions to the elliptic system with or will be established.

Suggested Citation

  • Jing Li & Caisheng Chen, 2018. "Two Types of Solutions to a Class of -Laplacian Systems with Critical Sobolev Exponents in," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-10, January.
  • Handle: RePEc:hin:jnlamp:6458395
    DOI: 10.1155/2018/6458395
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